On the Values of the Weighted 𝑞-Zeta and 𝐿-Functions

Abstract

Recently, the modified 𝑞-Bernoulli numbers and polynomials are introduced in (D. V. Dolgy et al., in press). These numbers are valuable to study the weighted 𝑞-zeta and 𝐿-functions. In this paper, we study the weighted 𝑞-zeta functions and weighted 𝐿-functions from the modified 𝑞-Bernoulli numbers and polynomials with weight 𝛼.